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DOI: 10.4230/LIPIcs.FSTTCS.2011.375
URN: urn:nbn:de:0030-drops-33340
URL: http://drops.dagstuhl.de/opus/volltexte/2011/3334/
Bouyer, Patricia ; Brenguier, Romain ; Markey, Nicolas ; Ummels, Michael

Nash Equilibria in Concurrent Games with Büchi Objectives

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Abstract

We study the problem of computing pure-strategy Nash equilibria in multiplayer concurrent games with Büchi-definable objectives. First, when the objectives are Büchi conditions on the game, we prove that the existence problem can be solved in polynomial time. In a second part, we extend our technique to objectives defined by deterministic Büchi automata, and prove that the problem then becomes EXPTIME-complete. We prove PSPACE-completeness for the case where the Büchi automata are 1-weak.

BibTeX - Entry

@InProceedings{bouyer_et_al:LIPIcs:2011:3334,
  author =	{Patricia Bouyer and Romain Brenguier and Nicolas Markey and Michael Ummels},
  title =	{{Nash Equilibria in Concurrent Games with B{\"u}chi Objectives}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)},
  pages =	{375--386},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-34-7},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{13},
  editor =	{Supratik Chakraborty and Amit Kumar},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3334},
  URN =		{urn:nbn:de:0030-drops-33340},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2011.375},
  annote =	{Keywords: Concurrent games, Nash equilibria, B{\"u}chi Objectives}
}

Keywords: Concurrent games, Nash equilibria, Büchi Objectives
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)
Issue date: 2011
Date of publication: 01.12.2011

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